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Finding the Third Proportional to 8,388,169 and 18,346,351

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Solution

The third proportional to 8,388,169 and 18,346,351 is: 40,126,587.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388,169 : 18,346,351 = 18,346,351 : x
  2. Step 2: Convert to fraction form
    8,388,169/18,346,351 = 18,346,351/x
  3. Step 3: Cross multiply
    8,388,169x = 18,346,351 × 18,346,351
  4. Step 4: Simplify right side
    8,388,169x = 336,588,595,015,201
  5. Step 5: Solve for x
    x = 336,588,595,015,201/8,388,169
  6. Step 6: Final answer
    x = 40,126,587.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.